Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import javax.swing.text.NumberFormatter;
import java.io.*;
import java.text.DecimalFormat;
import java.text.NumberFormat;
import java.util.Date;
import java.util.StringTokenizer;

public class Main
{
    static class FastReader
    {
        final BufferedReader br;
        StringTokenizer st;

        FastReader()
        {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        FastReader(String inputFile){
            try {
                br = new BufferedReader(new InputStreamReader(new FileInputStream(inputFile)));
            } catch (FileNotFoundException e) {
                throw new RuntimeException(e);
            }
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }

    static class FastWriter{
        PrintWriter printWriter;

        FastWriter(){
            printWriter = new PrintWriter(new BufferedOutputStream(System.out));
        }

        FastWriter(String outputFile){
            File file = new File(outputFile);
            if (!file.exists()){
                try {
                    if (!file.createNewFile())
                        throw new RuntimeException("Output file was not created!");
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            try {
                printWriter = new PrintWriter(new BufferedOutputStream(new FileOutputStream(file)));
            } catch (FileNotFoundException e) {
                throw new RuntimeException(e);
            }
        }

        void print(Object object){
            printWriter.print(object);
        }

        void print(Object ...objects){
            for (int i = 0; i < objects.length; i ++) {
                printWriter.print(objects[i]);
                if (i != objects.length - 1)
                    printWriter.write(' ');
            }
        }

        void flush(){
            printWriter.flush();
        }
    }

    public static void main(String[] args)
    {
        setup();
        xuly();
    }

    private static void setup() {
        FastReader fastReader = new FastReader();
        int n = fastReader.nextInt();
        double h = fastReader.nextInt();
        double sum = 0;
        NumberFormat format = new DecimalFormat("#0.0000000");
        for (int i = 1; i < n; i ++){
            double fromTop = h / Math.sqrt((double)n / i);
            System.out.print(format.format(fromTop) + " ");
        }
    }

    private static void xuly() {
    }
}